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Related papers: TDGL Equations for Two-Band Superconductor

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The Green's function method which has been originally proposed for linear systems has several extensions to the case of nonlinear equations. A recent extension has been proposed to deal with certain applications in quantum field theory. The…

Mathematical Physics · Physics 2018-06-26 Marco Frasca , Asatur Khurshudyan

We present two methods for computing two-time correlation functions or Green's functions from real time bold-line continuous time quantum Monte Carlo. One method is a formally exact generalized auxiliary lead formalism by which spectral…

Strongly Correlated Electrons · Physics 2014-04-01 Guy Cohen , David R. Reichman , Andrew J. Millis , Emanuel Gull

In this paper we review the recent progress in theoretical understanding of the peculiarities of photogalvanic phenomena, photon drag and inverse Faraday effects in superconductors and hybrid superconducting structures. Our study is based…

Superconductivity · Physics 2025-12-30 S. V. Mironov , A. I. Buzdin , O. B. Zuev , M. V. Kovalenko , A. S. Mel'nikov

Despite recent advances, systematic quantitative treatment of the electron correlation problem in extended systems remains a formidable task. Systematically improvable Green's function methods capable of quantitatively describing weak and…

Chemical Physics · Physics 2016-11-15 Alexander A. Rusakov , Dominika Zgid

We use a numerical solution of the deterministic TDGL equations to determine the response induced by a probe field in a material quenched into a superconducting state. We characterize differences in response according to whether the probe…

Superconductivity · Physics 2017-08-09 D. M. Kennes , A. J. Millis

Using the Ginzburg-Landau theory extended to the next-to-leading order we determine numerically the healing lengths of the two order parameters at the two-gap superconductor/normal metal interface. We demonstrate on several examples that…

Superconductivity · Physics 2011-08-26 L. Komendová , M. V. Milošević , A. A. Shanenko , F. M. Peeters

Two-particle Green's functions and the vertex functions play a critical role in theoretical frameworks for describing strongly correlated electron systems. However, numerical calculations at two-particle level often suffer from large…

Strongly Correlated Electrons · Physics 2018-05-16 Hiroshi Shinaoka , Junya Otsuki , Kristjan Haule , Markus Wallerberger , Emanuel Gull , Kazuyoshi Yoshimi , Masayuki Ohzeki

The two-particle problem within a nonequilibrium many-particle system is investigated in the framework of real-time Green's functions. Starting from the dynamically screened ladder approximation of the nonequlibrium Bethe-Salpeter equation,…

Plasma Physics · Physics 2007-05-23 Th. Bornath , D. Kremp , M. Schlanges

Time-dependent Ginzburg-Landau (TDGL) theory is a phenomenological model for the dynamics of superconducting systems. Due to its simplicity in comparison to microscopic theories and its effectiveness in describing the observed properties of…

Superconductivity · Physics 2023-05-31 Logan Bishop-Van Horn

In the comment of M.E. Palistrant (arXiv: cond-mat/0305496) the main results of the theory of superconductors with overlapping energy bands are formulated. The comment provides a list of references to the classical papers of the author of…

Superconductivity · Physics 2007-05-23 L. Z. Kon

Computing the numerical solution of the Kadanoff-Baym equations, a set of nonlinear integral differential equations satisfied by two-time Green's functions derived from many-body perturbation theory for a quantum many-body system away from…

Strongly Correlated Electrons · Physics 2022-03-29 Jia Yin , Yang-hao Chan , Felipe da Jornada , Diana Qiu , Steven G. Louie , Chao Yang

In this work, the theory of second gradient electrodynamics, which is an important example of generalized electrodynamics, is proposed and investigated. Second gradient electrodynamics is a gradient field theory with up to second-order…

Classical Physics · Physics 2020-05-13 Markus Lazar

We construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz continuous in the spatial variables and…

Analysis of PDEs · Mathematics 2014-09-25 Hongjie Dong , Seick Kim

We first apply functional-integral approach to a multiband Hubbard model near the critical pairing temperature, and derive a generic effective action that is quartic in the fluctuations of the pairing order parameter. Then we consider…

Superconductivity · Physics 2023-06-13 M. Iskin

On the basis of spin and pairing fluctuation-exchange approximation, we study the superconductivity in quasi-two-dimensional Hubbard model. The integral equations for the Green's function are self-consistently solved by numerical…

Superconductivity · Physics 2009-10-23 Xin-Zhong Yan

We apply time-dependent Ginzburg Landau (TDGL) numerical simulations to study the finite frequency electrodynamics of superconductors subjected to intense rf magnetic field. Much recent TDGL work has focused on spatially uniform external…

Superconductivity · Physics 2020-03-23 Bakhrom Oripov , Steven Anlage

The feasibility of a perturbation expansion for Green's functions of the t-J model directly in terms of X-operators is demonstrated using the Baym- Kadanoff functional method. As an application we derive explicit expressions for the kernel…

Superconductivity · Physics 2009-10-31 R. Zeyher , A. Greco

We extend the formalism of the thermodynamic two-time Green's functions to nonextensive quantum statistical mechanics. Working in the optimal Lagrangian multipliers representation, the $q$-spectral properties and the methods for a direct…

Statistical Mechanics · Physics 2008-09-07 A. Cavallo , F. Cosenza , L. De Cesare

Several widely used methods for the calculation of band structures and photo emission spectra, such as the GW approximation, rely on Many-Body Perturbation Theory. They can be obtained by iterating a set of functional differential equations…

Strongly Correlated Electrons · Physics 2012-01-31 Giovanna Lani , Pina Romaniello , Lucia Reining

A linearized backward Euler Galerkin-mixed finite element method is investigated for the time-dependent Ginzburg--Landau (TDGL) equations under the Lorentz gauge. By introducing the induced magnetic field ${\sigma} = \mathrm{curl} \,…

Numerical Analysis · Mathematics 2016-07-06 Huadong Gao , Weiwei Sun